SOLUTION: Working together, Larry, Moe and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long would it

Algebra ->  Rate-of-work-word-problems -> SOLUTION: Working together, Larry, Moe and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long would it      Log On


   

Question 330764: Working together, Larry, Moe and Curly can paint an elephant in 3 minutes. Working alone, it would take Larry 10 minutes or Moe 6 minutes to paint the elephant. How long would it take Curly to paint the elephant if he worked alone?
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
larry - 10 minutes
1/10 of the job he will do in 1 minute.
..
Moe takes 6 minutes
1/6 of the job he does in 1 minute.
..
Together they will do 1/10 + 1/6 of the job in 1 minute
LCD = 30
3+5 / 30
8/30
4/15 of the job in 1 minute.
..
All three take 3 minutes to do thejob
All three will do 1/3 of the job in 1 minute.
1/3 - 4/15 is the job done by Curly in 1 minute
LCD = 15
5-4/15
1/15 of the job in 1 minute.
so Curly will take 15 minutes to do the job alone.